Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group

D. Danielli, N. Garofalo, D. M. Nhieu +1

Let S be a C^2 H-minimal noncharacteristic hypersurface in the first Heisenberg group. We show that if S contains a graphical strip, then it is not a stable minimal surface. Moreov…